The probability that each link is working is 0.95. what is the probability of being able to transmit a message from point A to point B? if the message is successfully sent, what is the probability that the middle link was working?
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The probability that each link is working is 0.95.
what is the probability of being able...
Consider the communication network shown in the figure below and suppose that each link can fail with probability p. As...
Consider the communication network shown in the figure below and suppose that each link can fail with probability p. Assume that failures of different links are independent Link 1 Link 2 B A Link 5 Link 3 Link 4 1. Assume that p = 1/3. Find the probability that there exists a path from A to Balong which no link has failed. (Give a numerical answer.) 2. Given that exactly one link in the network has failed, find the probability...
In the communications networks diagrammed below, suppose that the communication link labeled 1くіく5 is working with...
In the communications networks diagrammed below, suppose that the communication link labeled 1くіく5 is working with probability pi, and fails with probability i-pi, independently of the others. What is the probability that A can communicate with B in each case, that is, the probability that there are one or more paths from A to B all of whose links are working? Give your answer as a function of pi, p2, p3, pa, ps, and simplify your formula as much as...
Question 1 (20 points: Events, counting, and properties f probabniny Consider the network shown below. There are two kinds of links in the network. Each link of kind o-p +0 fails with probability...
Question 1 (20 points: Events, counting, and properties f probabniny Consider the network shown below. There are two kinds of links in the network. Each link of kind o-p +0 fails with probability p and that of kind O 4+0 fails with probability q. Each link is assumed to fail independently of the other. We say that a path is successful if no link in the path fails. For example, the path S-B-T succeeds if none of the links S...
9 Consider the computer network with nodes and communication links as shown below Each link has...
9 Consider the computer network with nodes and communication links as shown below Each link has a cost associated with it. Find a minimum spanning tree of the network that connects all nodes with minimum total link cost. Specify the minimum total cost You t use Prim's algorithm. Show all steps of the algorithm. mus 2 2 4
I really need help to understand this Stochastic Models problem. Prob.3 In a relay network, the...
I really need help to understand this Stochastic
Models problem.
Prob.3 In a relay network, the relay components are arranged in the configuration shown in the diagram below. Assume that each relay component fails randomly and with probability p. (a) Find the probability that a signal sent from point a arrives at point b successfully. (b) Find the value of p so that the probability that a signal sent from point a arrives at point b successfully is 0.9375. R....
Relays are commonly used in communication systems to extend the range of a transmitter (source), but...
Relays are commonly used in communication systems to extend the range of a transmitter (source), but they are also used to increase link reliability. A decode-and-forward (DF) relay receives a message from the source, checks for errors, and then retransmits the same message to the receiver (destination). The destination now has two chances to decode the message without errors: on the direct source-destination (s-d) link and over the source-relaydestination (s-r-d) path. If an error occurs on both the s-d link...
Hosts A and B are each connected to a switch S via 1-Gbps links as below....
Hosts A and B are each connected to a switch S via 1-Gbps links as below. The propagation delay on each link is 20 μs. S is a store-and-forward device; it begins retransmitting a received packet 35μs after it has finished receiving it. Calculate the total time required to transmit 10,000 bits from A to B in the following two cases: When all the 10,000 bits are transmitted in a single packet? When the 10,000 bits are transmitted in two...
Consider a noisy communication channel, where each bit is flipped with probability p (the probability that...
Consider a noisy communication channel, where each bit is flipped with probability p (the probability that a bit is sent in error is p). Assume that n−1 bits, b1,b2,⋯,b(n−1), are going to be sent on this channel. A parity check bit is added to these bits so that the sum b1+b2+⋯+bn is an even number. This way, the receiver can distinguish occurrence of odd number of errors, that is, if one, three, or any odd number of errors occur, the...
Problem 4. Two communication systems (shown below) are composed from several links, where, for proper operation,...
Problem 4. Two communication systems (shown below) are composed from several links, where, for proper operation, a connection must be available between two end points of each system. For a link to work properly, it must provide a connection across its end points. The links are assumed to fail independently of each other. Each link is numbered with i, and we assume that the probability that link fails is equal to p Find the probability of failure of each system,...
Consider the communication network shown in the figure below and suppose that each link can fail with probability p. Assume that failures of different links are independent Link 1 Link 2 B A Link 5 Link 3 Link 4 1. Assume that p = 1/3. Find the probability that there exists a path from A to Balong which no link has failed. (Give a numerical answer.) 2. Given that exactly one link in the network has failed, find the probability...
In the communications networks diagrammed below, suppose that the communication link labeled 1くіく5 is working with probability pi, and fails with probability i-pi, independently of the others. What is the probability that A can communicate with B in each case, that is, the probability that there are one or more paths from A to B all of whose links are working? Give your answer as a function of pi, p2, p3, pa, ps, and simplify your formula as much as...
Question 1 (20 points: Events, counting, and properties f probabniny Consider the network shown below. There are two kinds of links in the network. Each link of kind o-p +0 fails with probability p and that of kind O 4+0 fails with probability q. Each link is assumed to fail independently of the other. We say that a path is successful if no link in the path fails. For example, the path S-B-T succeeds if none of the links S...
9 Consider the computer network with nodes and communication links as shown below Each link has a cost associated with it. Find a minimum spanning tree of the network that connects all nodes with minimum total link cost. Specify the minimum total cost You t use Prim's algorithm. Show all steps of the algorithm. mus 2 2 4
I really need help to understand this Stochastic
Models problem.
Prob.3 In a relay network, the relay components are arranged in the configuration shown in the diagram below. Assume that each relay component fails randomly and with probability p. (a) Find the probability that a signal sent from point a arrives at point b successfully. (b) Find the value of p so that the probability that a signal sent from point a arrives at point b successfully is 0.9375. R....
Problem 4. Two communication systems (shown below) are composed from several links, where, for proper operation, a connection must be available between two end points of each system. For a link to work properly, it must provide a connection across its end points. The links are assumed to fail independently of each other. Each link is numbered with i, and we assume that the probability that link fails is equal to p Find the probability of failure of each system,...
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